When Are Nonanonymous Players Negligible?

Drew Fudenberg, David Levine, Wolfgang Pesendorfer

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


We examine games played by a single large player and a large number of opponents who are small, but not anonymous. If the play of the small players is observed with noise, and if the number of actions the large player controls is bounded as the number of small players grows, the equilibrium set converges to that of the game where there is a continuum of small players. This paper extends previous work on the negligibility of small players by dropping the assumption that small players' actions are "anonymous." That is, we allow each small player's actions to be observed separately, instead of supposing that the small players' actions are only observed through their effect on an aggregate statistic.Journal of Economic LiteratureClassification Numbers: C72, C73.

Original languageEnglish (US)
Pages (from-to)46-71
Number of pages26
JournalJournal of Economic Theory
Issue number1
StatePublished - Mar 1998

All Science Journal Classification (ASJC) codes

  • Economics and Econometrics


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